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Finding the Fourth Proportional to 5,689.28, 7,851.71 and 3,300.14

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Solution

The fourth proportional to 5,689.28, 7,851.71 and 3,300.14 is: 4,554.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,689.28 : 7,851.71 = 3,300.14 : x
  2. Step 2: Convert to fraction form
    5,689.28/7,851.71 = 3,300.14/x
  3. Step 3: Cross multiply
    5,689.28x = 7,851.71 × 3,300.14
  4. Step 4: Simplify right side
    5,689.28x = 25,911,742.24
  5. Step 5: Solve for x
    x = 25,911,742.24/5,689.28
  6. Step 6: Final answer
    x = 4,554.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.